1921420410 has 256 divisors, whose sum is σ = 6328627200. Its totient is φ = 361304064.

The previous prime is 1921420409. The next prime is 1921420453. The reversal of 1921420410 is 140241291.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 880701 + ... + 882879.

It is an arithmetic number, because the mean of its divisors is an integer number (24721200).

Almost surely, 2^1921420410 is an apocalyptic number.

1921420410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1921420410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164313600).

1921420410 is an abundant number, since it is smaller than the sum of its proper divisors (4407206790).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1921420410 is a wasteful number, since it uses less digits than its factorization.

1921420410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1921420410 is about 43834.0097412956. The cubic root of 1921420410 is about 1243.1994229507.

The spelling of 1921420410 in words is "one billion, nine hundred twenty-one million, four hundred twenty thousand, four hundred ten".